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20032008
most citedModular representations of reductive groups and geometry of affine Grassmannians

11 citations

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math.GR2008★ 4 cited

Every braid admits a short sigma-definite representative

Jean Fromentin

A result by Dehornoy (1992) says that every nontrivial braid admits a sigma-definite word representative, defined as a braid word in which the generator sigma_i with maximal index…

math.GR2008★ 2 cited

The conjugacy problem in right-angled Artin groups and their subgroups

John Crisp, Eddy Godelle, Bert Wiest

We prove that the conjugacy problem in right-angled Artin groups (RAAGs), as well as in a large and natural class of subgroups of RAAGs, can be solved in linear-time. This class of…

math.GR2007★ 1 cited

Comparing Gröbner bases and word reversing

Marc Autord

Gröbner bases, in their noncommutative version, and word reversing are methods for solving the word problem of a presented monoid, and both rely on iteratively completing the initi…

math.GR2007

Alternating normal forms for braids and locally Garside monoids

Patrick Dehornoy

We describe new types of normal forms for braid monoids, Artin-Tits monoids, and, more generally, for all monoids in which divisibility has some convenient lattice properties (``lo…

math.GR2005

Free augmented LD-systems

Patrick Dehornoy

Define an augmented LD-system, or ALD-system, to be a set equipped with two binary operations, one satisfying the left self-distributivity law and…

math.GR2005

Still another approach to the braid ordering

Patrick Dehornoy

We develop a new approach to the linear ordering of the braid group , based on investigating its restriction to the set $\Div(Δ\_n^d)$ of all divisors of in the mono…